Question

There are two mixtures of honey and water in which the ratio of honey and water are as 1:3 and 3:1 respectively. Two litres are drawn from first mixture and 3 litres from second mixture, are mixed to form another mixture. What is the ratio of honey and water in it ?
A) 111:108
B) 11:9
C) 103:72
D) None

Answer 1

12

Q:

There are two mixtures of honey and water in which the ratio of honey and water are as 1:3 and 3:1 respectively. Two litres are drawn from first mixture and 3 litres from second mixture, are mixed to form another mixture. What is the ratio of honey and water in it ?

A) 111:108
B) 11:9
C) 103:72
D) None

ĀNSWĒR ⏬⏬

  B) 11:9 

Explanation:

From the given data,

➡The part of honey in the first mixture = 1/4 

➡ in the second mixture = 3/4 

➡Let the part of honey in the third mixture = x 

So,


1/4             3/4

 

           x

 

(3/4)-x     x-(1/4) 


➡Given from mixtures 1 & 2 the ratio of mixture taken out is 2 : 3
 

=> 3/4−x/x−14=2/3

 
=> Solving we get the part of honey in the third mixture as 11/20


=> the remaining part of the mixture is water = 9/20 

➡Hence, the ratio of the mixture of honey and water in the third mixture is 11 : 9 .✔


THANKS ✌✌


# NAVI ❤ HARYANVI ♠

Answer 2

The percentage of honey in the first mixture = 1/4 × 100 = 25%

The percentage of honey in the second mixture = 3/4 × 100 = 75%

Given that, 2 litres are drawn from the first mixture and 3 litres from the second mixture, then

Percentage of honey in the new mixture = (25 × 2 + 75 × 3)/5

=> 55%

Then, the ratio of honey and water in the new mixture would be 55 : (100 – 55) = 55 : 45 = 11 : 9